What is the Greatest Common Factor of 58349 and 58364?

Greatest common factor (GCF) of 58349 and 58364 is 1.

GCF(58349,58364) = 1

We will now calculate the prime factors of 58349 and 58364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58349 and 58364.

How to find the GCF of 58349 and 58364?

We will first find the prime factorization of 58349 and 58364. After we will calculate the factors of 58349 and 58364 and find the biggest common factor number .

Step-1: Prime Factorization of 58349

Prime factors of 58349 are 19, 37, 83. Prime factorization of 58349 in exponential form is:

58349 = 19¹ × 37¹ × 83¹

Step-2: Prime Factorization of 58364

Prime factors of 58364 are 2, 14591. Prime factorization of 58364 in exponential form is:

58364 = 2² × 14591¹

Step-3: Factors of 58349

List of positive integer factors of 58349 that divides 58349 without a remainder.

1, 19, 37, 83, 703, 1577, 3071

Step-4: Factors of 58364

List of positive integer factors of 58364 that divides 58349 without a remainder.

1, 2, 4, 14591, 29182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58349 and 58364. The biggest common factor number is the GCF number.
So the greatest common factor 58349 and 58364 is 1.

Also check out the Least Common Multiple of 58349 and 58364